Probabilistic and Average Linear Widths inL∞-Norm with Respect tor-fold Wiener Measure
نویسندگان
چکیده
منابع مشابه
Probabilistic and average linear widths of Sobolev space with Gaussian measure
E-mail: [email protected] Abstract: We determine the exact order of the p-average linear n-widths λ n (W r 2 , μ, Lq)p, 1 ≤ q < ∞, 0 < p <∞, of the Sobolev space W r 2 equipped with a Gaussian measure μ in the Lq-norm. Moreover, we also calculate the probabilistic linear (n, δ)-widths and p-average linear n-widths of the finitedimensional space R with the standard Gaussian measure in l q , i.e.,
متن کاملAbout Widths of Wiener Space in the Lq-Norm
In this paper we consider average n-widths of the Wiener space C in the Lq-norm. We study two kinds of average n-widths which describe best and best linear approximation of the Wiener space over all n-dimensional subspaces. The approximation problem on spaces with Wiener measure in the L2-norm was investigated in the book of Traub et al. (1988). Papers concerned with average n-widths in Banach ...
متن کاملa comparison of teachers and supervisors, with respect to teacher efficacy and reflection
supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...
15 صفحه اولIntegration and L2-Approximation: Average Case Setting with Isotropic Wiener Measure for Smooth Functions
We propose isotropic probability measures deened on classes of smooth multi-variate functions. These provide a natural extension of the classical isotropic Wiener measure to multivariate functions from C 2r. We show that in the corresponding average case setting the minimal errors of algorithms that use n function values are ? n ?(d+4r+1)=2d and ? n ?(4r+1)=2d for the integration and L 2-approx...
متن کاملIntegration and Approximation of Multivariate Functions: Average Case Complexity with Isotropic Wiener Measure
We study the average case complexity of multivariate integration and L2 function approximation for the class F = C([0, 1]) of continuous functions of d variables. The class F is endowed with the isotropic Wiener measure (Brownian motion in Levy’s sense). Furthermore, for both problems, only function values are used as data.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1996
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0003